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Superconvergence of the iterated collocation methods for Hammerstein equations |
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| Authors: | Hideaki Kaneko Richard D Noren Peter A Padilla |
| Institution: | a Department of Mathematics and Statistics, Old Dominion University, Norfolk, Virginia 23529-0077, United States b NASA Langley Research Center, MS-130, Hampton, Virginia 23681-0001, United States |
| Abstract: | In this paper, we analyse the iterated collocation method for Hammerstein equations with smooth and weakly singular kernels. The paper expands the study which began in 16] concerning the superconvergence of the iterated Galerkin method for Hammerstein equations. We obtain in this paper a similar superconvergence result for the iterated collocation method for Hammerstein equations. We also discuss the discrete collocation method for weakly singular Hammerstein equations. Some discrete collocation methods for Hammerstein equations with smooth kernels were given previously in 3, 18]. |
| Keywords: | The iterated collocation method The discrete collocation method Hammerstein equations with weakly singular kernels Superconvergence |
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